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3 years ago

How do you factor the expression 7+28 using the gcf

Mathematics

1 answer:

Studentka2010 [4]3 years ago

5 0

Answer:

7+28

(7)(1) + (7)(4)

7(1 + 4)

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David gets 65 chocolates an hour for cleaning. He gets a 15% raise. He cleans for 60 hours this week. How many more chocolates w

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Answer:

4485

Step-by-step explanation:

60 x 65 is equivalent to 3900, but since he got a raise, it would add 15% more to 3900, which is 4485 chocolates this week

x 65

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3 years ago

Solve using the Pythagorean identity<br>

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<h3> $\bold{Sin\theta_{1}=-\frac{4}{5}}$ </h3>

Answer:

Solution given

Cos $\displaystyle \theta_{1}=\frac{3}{5}$

consider Pythagorean theorem

$\bold{Sin²\theta+Cos²\theta=1}$

Subtracting $Cos²\theta$ both side

$\displaystyle Sin²\theta=1-Cos²\theta$

doing square root on both side we get

$Sin\theta=\sqrt{1-Cos²\theta}$

Similarly

$Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}$

Substituting value of $Cos\theta_{1}$

we get

$Sin\theta_{1}=\sqrt{1-(\frac{3}{5})²}$

<h3>Solving numerical</h3>

$Sin\theta_{1}=\sqrt{1-(\frac{9}{25})}$

$Sin\theta_{1}=\sqrt{\frac{16}{225}}$

$Sin\theta_{1}=\frac{\sqrt{2*2*2*2}}{\sqrt{5*5}}$

$Sin\theta_{1}=\frac{4}{5}$

Since

In IVquadrant sin angle is negative

$\bold{Sin\theta_{1}=-\frac{4}{5}}$

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